27428293534914 has 192 divisors, whose sum is σ = 63168633665280. Its totient is φ = 8583681300480.

The previous prime is 27428293534913. The next prime is 27428293534933. The reversal of 27428293534914 is 41943539282472.

It is a happy number.

27428293534914 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 8 + 2 + 9 + 3 + 534 + 91 + 4 = 666.

It is a super-2 number, since 2×27428293534914² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27428293534913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6204090424 + ... + 6204094844.

It is an arithmetic number, because the mean of its divisors is an integer number (329003300340).

Almost surely, 2^{27428293534914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27428293534914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31584316832640).

27428293534914 is an abundant number, since it is smaller than the sum of its proper divisors (35740340130366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27428293534914 is a wasteful number, since it uses less digits than its factorization.

27428293534914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5734 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 27428293534914 in words is "twenty-seven trillion, four hundred twenty-eight billion, two hundred ninety-three million, five hundred thirty-four thousand, nine hundred fourteen".